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Problem 49 Hard Difficulty

The sun radiates energy at the rate of $3.85 \times 10^{26} \mathrm{W} .$ Suppose the net reaction
$$
4 \mathrm{p}+2 \mathrm{e}^{-} \rightarrow \alpha+2 \nu_{\mathrm{e}}+6 \gamma
$$
accounts for all the energy released. Calculate the number of
protons fused per second. Note: Recall that an alpha particle is
a helium-4 nucleus.

Answer

Therefore, the required rate of fusion of protons in the sun is $3.60 \times 10^{38}$ protons/s

Discussion

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Top Physics 103 Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Farnaz M.

Other Schools

Meghan M.

McMaster University

Video Transcript

for discussion. We're assuming that's the sun Net reaction and the sun is the following equation Right following fusion equation are for protons to form in El Far Perico when you were first need to find is the energy that's being released by each Artis reaction. We can do that by looking at a cube value. Thank you. Value can be calculated by taking the change in the mess. Want to buy C square on the change in the masses? He closed to mass off the initial reacted Jace four times demons off proton plus two times demand salty electrons subjected by d mess off the final products which is met so far she full Killian Forde, Ukraine What? Good bye. See script Do we know case since ah oh helium For if she contains to ah taught off to electrons in the atom, right? We can use t if you used the atomic messes. Tell me miss off hydrogen four times off debt would be equivalent 24 times off. Mess of protons burst four times. Demands off electron he mess off If they used the atomic mess off here for it would be cool into mass off the human for new client. 1st 2 times statements off electrons so we can see that this is actually equivalent to taking four times it meself. Hydrogen miners mess off the Helio ETA. I turned this simply Feiss a little bit so we can use the atomic messes rather than the new cry messes. So this seki halting simplify ice into the atomic messes off hydrogen and helium This we can find from sources online or from the appendix off the textbook. This team s off hydrogen. My no, steam s off. She lived your client. Sorry. Mess off. Do you have a toke? Right. C square. We gotta use 91.494 and TV for you since we are dealing way for talking mess unions. And so we get the energy just released between 6.7. No to find What is the rate reached? He pulled Protons are being used. We know that this actually requires four protons. Poor reaction. All right, so if you able to find a number off reactions, maybe multiplied it by four. This will give us tea rates off which the protons are being, uh, taken up. So they reached off direction. Yes, it goes to the energy. Sorry, because the power pull off the sun given extra 0.5 several 26. You fight by the energy. Thanks, Tyne. We're gonna call the M E V to Jews. So this is the number of reactions. Politican, but number read off Proton consumption vehicles to rates off reaction. I replied that by four courses were taking for protons. Poor reaction. Terry Shoot gets 3.6 times 10 powerful, but protons post second.

National University of Singapore
Top Physics 103 Educators
Elyse G.

Cornell University

Marshall S.

University of Washington

Farnaz M.

Other Schools

Meghan M.

McMaster University